Asymptotically self-similar global solutions for Hardy-Hénon parabolic equations

Noboru Chikami, Masahiro Ikeda, Koichi Taniguchi +1

We construct asymptotically self-similar global solutions to the Hardy-Hénon parabolic equation ${\partial }_{t}u-\Delta u=\pm |x{|}^{\gamma }|u{|}^{\alpha -1}u$, $\alpha >1$, $\gamma \in \mathbb{R}$ for a large cl…